What is 0.215 as a fraction?
0.215 as a fraction is 215/1000 and its simplest form is 43/200.
Learn how to find what is 0.215 as a fraction in simplest form just in a few minutes. We have covered why the concept of place value and factorization is crucial to express decimal point 0.215 in its equivalent fraction form. It is required to recognize the decimal point 0.215 as 215 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.215 as a fraction and how it can be found easily.
Summary: 0.215 in fraction form
0.215 can be recognized as 215 thousandths, which can be represented as 215/1000 in fraction form. The simplest form of 215/1000 is 43/200. Therefore, 0.215 as a fraction is 43/200.
Write 0.215 as a fraction in simplest form.
0.215 = (?)
0.215 = 0.215/1
= (0.215/1) x (1000/1000) //0.215 can be recognized as 215 thousandths.
= 215/1000 //215 thousandths is equal to 215/1000 and it can be simplified further.
= (215/5)/(1000/5) //5 is the GCF of 215 and 1000. Divide both 215 and 1000 by the GCF 5 to simplify the fraction.
= 43/200
0.215 = 43/200
0.215 in its simplest fraction form is 43/200.
So, what is the fraction of 0.215?
It is 215/1000 in fraction. To simplify 215/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 215 by 5 gives 43,
and dividing 1000 by 5 gives 200. Thus, 215/1000 simplifies to 43/200
Refer to the step by step work further to learn how to find what is 0.215 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.215
What to be found:
What is 0.215 as a fraction in simplest form?
step 2 Write 0.215 as a simple fraction.
0.215/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.215/1.
Since the decimal 0.215 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.215/1 to make numerator as a whole number.
(0.215 x 1000)/(1 x 1000) = 215/1000
step 4
215 thousandths is the fraction form of 0.215, however, it can be reduced further. To simplify 215/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 215 and 1000 cancel each other.
215/1000 = (5 x 43)/(5 x 200)
= 43/200
215/1000 = 43/200
Hence,
0.215 as a fraction is 43/200.
Converting decimals like 0.215 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.215 to fraction form. In this case, 0.215 can be recognized as 215 thousandths. So, the fraction form of 0.215 is 215/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 215/1000 in its simplest form.